Behaviour of exact constants in inequalities of Jackson type
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Chernykh N.I. "On the best approximation of periodic functions by trigonometrical polynomials in $$$L_2$$$", Math. Notes, 1967; 2(5): pp. 513-522. doi:10.1007/BF01093942
Korneichuk N.P., Ligun A.A., Doronin V.G. Approximation with constraints, 1982. (in Ukrainian)
Babenko V.F. "Non-symmetric approximations in spaces of integrable functions", Ukrainian Math. J., 1982; 34(4); pp. 409-416. doi:10.1007/BF01091584
Ligun A.A. "Jackson's type inequalities", East J. Approx., 1996; 2(2): pp. 235-244.
Doronin V.G. "On the order of grow of exact constants in inequalities of Jackson type for the best $$$(\alpha, \beta)$$$-approximations", Proc. II Int. School: Fourier series, Kyiv, 1997; pp. 47-48. (in Ukrainian)
Korneichuk N.P. "Exact constant in Jackson theorem of the best uniform appproximation of continuous periodic functions", Dokl. AN sssr, 1962; 145: pp. 514-515.
Korneichuk N.P. Extremum problems in approximation theory, 1976.
Korneichuk N.P. Exact constants in approximation theory, Nauka, 1987.
Timan A.F. Approximation theory for real-variable functions, Fizmatgiz, 1960.
Chernykh N.I. "On Jackson inequality in $$$L_2$$$ space", Trudy MIAN sssr, 1967; 88: pp. 71-74.
Gavriliuk V.T. "Approximation of continuous periodic functions by Rogozinskii sums and Fourier sums", Problems of func. approx. theory and its appl., Kyiv, 1976; pp. 46-60.
Babenko V.F. "Non-symmetric extremum problems of approximation theory", Dokl. AN sssr, 1983; 269(3): pp. 521-524.
Ligun A.A. Special problems of approximation theory, 1990.
Doronin V.G. "On the order of grow of exact constants in inequalities of Jackson type for the best one-sided approximations", Proc. Int. Conf.: Approx. Theory, 1996; pp. 90-91.
Babenko A.G. Direct theorems of approximation theory in $$$L_2$$$ and associated extremal problems for positive defined functions: Diss. Doct. Phys.-Math. Sc., 2004.
DOI: https://doi.org/10.15421/240810
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